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Finding the Third Proportional to 137,126 and 207,150

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Solution

The third proportional to 137,126 and 207,150 is: 312,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,126 : 207,150 = 207,150 : x
  2. Step 2: Convert to fraction form
    137,126/207,150 = 207,150/x
  3. Step 3: Cross multiply
    137,126x = 207,150 × 207,150
  4. Step 4: Simplify right side
    137,126x = 42,911,122,500
  5. Step 5: Solve for x
    x = 42,911,122,500/137,126
  6. Step 6: Final answer
    x = 312,932.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.